Quotient isomorphism invariants of a finitely generated Coxeter group

2006/07/18 by Michael Mihalik, Mihalik, Michael, John Ratcliffe +3
Mathematics · #20F55 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20F55

paper · pdf · doi:10.48550/arxiv.math/0607428

arxiv created 2006/07/18 · arxiv updated 2009/12/01

Abstract

In this paper we describe a family of isomorphism invariants of a finitely generated Coxeter group W. Each of these invariants is the isomorphism type of a quotient group W/N of W by a characteristic subgroup N. The virtue of these invariants is that W/N is also a Coxeter group. For some of these invariants, the isomorphism problem of W/N is solved and so we obtain isomorphism invariants that can be effectively used to distinguish isomorphism types of finitely generated Coxeter groups.

Related

• The isomorphism problem for Coxeter groups
• The Even Isomorphism Theorem for Coxeter Groups
• Classifying quotients on Coxeter groups by isomorphism in Bruhat order
• Coxeter quotients of the automorphism group of a Coxeter group
• Sur l'application de Quillen pour la cohomologie modulo 2 de certains groupes finis